This is an investigative approach to learning about positive and negative numbers, and how to add and subtract them.
What you will NOT find here:
• Anthropomorphized versions of the number line
• Cutsie ditties about how add and subtract integers
• Rules and Regulations (who needs them?)
What you WILL find here:
• A 19th century tool for your students to use to investigate the properties of positive and negative integers.
• An investigative approach to learning how to add and subtract positive and negative integers in a serious and engaging way.
• Some really cool activities and puzzles that will get your students thinking.
This is a very serious approach to learning about positive and negative integers; however, this does not mean it has been "dumbed down," or turned into some silly set of activities. It uses an invention called the Nomogram, which was invented in 1884 by the French engineer Philbert Maurice d’Ocagne and used extensively for many years to provide engineers with fast graphical calculations of complicated formulas to a practical precision.
Using a version of the nomogram, your students will learn about such things as how the number line can be extended to include negative numbers, opposite numbers, absolute value and how to add and subtract positive and negative numbers. They will learn about the different forms of notation, how to tell whether a solution will be positive or negative (or 0!), and why "subtracting a negative is the same as adding a positive."
There are many activities which will enhance your students' understanding, including questions like "sometimes, always, never true: when you add two negative numbers, the answer will always be negative," in which they have to show three examples and explain why it is always true.
There are also some practice activities in the form of "integer cross" puzzles, as well as some nice open-ended kinds of problems to write about.
This is a work in progress: each purchase comes with an unlimited number of updates.